SOLUTION: Pepe's Pizza makes 52 pizza crusts the first week and 180 pizza crusts each subsequent week. Dianne's Delicatessen makes 26 pizza crusts the first week and 90 pizza crusts each sub

Algebra ->  Human-and-algebraic-language -> SOLUTION: Pepe's Pizza makes 52 pizza crusts the first week and 180 pizza crusts each subsequent week. Dianne's Delicatessen makes 26 pizza crusts the first week and 90 pizza crusts each sub      Log On


   



Question 797395: Pepe's Pizza makes 52 pizza crusts the first week and 180 pizza crusts each subsequent week. Dianne's Delicatessen makes 26 pizza crusts the first week and 90 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by Pep's Pizza equal twice the total number of pizza crusts made by Dianne's Delicatessen?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p%5Bn%5D+ = The total number of pizza crusts
made by the end of the nth week
For Pepe's Pizza:
+p%5Bn%5D+%2B+52+%2B+180n+
For Dianne's:
+p%5Bn%5D+=+26+%2B+90n+
the total number of pizza crusts made by Pep's Pizza
equals twice the total number of pizza crusts
made by Dianne's Delicatessen when:
+52+%2B+180n+=+2%2A%28+26+%2B+90n+%29+
+52+%2B+180n+=+52+%2B+180n+
This equation is satisfied for any value of +n+,
so Pepe's always makes twice as much as Dianne's